Abstract

In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh and Salleh (2011) define the concept of soft expert sets where the user can know the opinion of all experts in one model and give an application of this concept in decision making problem. So in this paper, we generalize the concept of a soft expert set to fuzzy soft expert set, which will be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR. We give an application of this concept in decision making problem. Finally, we study a mapping on fuzzy soft expert classes and its properties.

Highlights

  • Many scientists wish to find appropriate solutions to some mathematical problems that cannot be solved by traditional methods

  • Maji et al [5] have introduced the concept of fuzzy soft set, a more general concept, which is a combination of fuzzy set and soft set and studied its properties and Roy and Maji [6] used this theory to solve some decision making problems

  • Alkhazaleh and Salleh [10] introduced the concept of a soft expert set, where the user can know the opinion of all experts in one model without any operations

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Summary

Introduction

Many scientists wish to find appropriate solutions to some mathematical problems that cannot be solved by traditional methods. Maji et al [5] have introduced the concept of fuzzy soft set, a more general concept, which is a combination of fuzzy set and soft set and studied its properties and Roy and Maji [6] used this theory to solve some decision making problems. Alkhazaleh et al [7] introduced the concept of soft multisets as a generalization of soft set They defined the concepts of fuzzy parameterized interval-valued fuzzy soft set [8] and possibility fuzzy soft set [9] and gave their applications in decision making and medical diagnosis. Alkhazaleh and Salleh [10] introduced the concept of a soft expert set, where the user can know the opinion of all experts in one model without any operations. We study a mapping on fuzzy soft expert classes and its properties

Preliminaries
Fuzzy Soft Expert Set
Union and Intersection
AND and OR Operations
An Application of Fuzzy Soft Expert Set in Decision Making
Mapping on Fuzzy Soft Expert Classes
Conclusion
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